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Finding the Fourth Proportional to 514.71, 772.11 and 149.49

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Solution

The fourth proportional to 514.71, 772.11 and 149.49 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.71 : 772.11 = 149.49 : x
  2. Step 2: Convert to fraction form
    514.71/772.11 = 149.49/x
  3. Step 3: Cross multiply
    514.71x = 772.11 × 149.49
  4. Step 4: Simplify right side
    514.71x = 115,422.72
  5. Step 5: Solve for x
    x = 115,422.72/514.71
  6. Step 6: Final answer
    x = 224.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.